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Invariants for smooth conjugacy of hyperbolic dynamical systems. IV

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Abstract

We show that if twoC ∞ transitive Anosov flows in a three-dimensional manifold are topologically conjugate and the Lyapunov exponents on corresponding periodic orbits agree, then the conjugating homeomorphism isC ∞.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Fine Hall, Washington Road, 08544, Princeton, NJ, USA

    R. de la Llave

  2. División de Matemáticas, Univ. Autónoma de Madrid, Cantoblanco, E-28049, Madrid, Spain

    R. Moriyón

Authors
  1. R. de la Llave
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  2. R. Moriyón
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Additional information

Communicated by J. N. Mather

Partially supported by NSF grant # DMS 85-04984

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de la Llave, R., Moriyón, R. Invariants for smooth conjugacy of hyperbolic dynamical systems. IV. Commun.Math. Phys. 116, 185–192 (1988). https://doi.org/10.1007/BF01225254

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  • DOI: https://doi.org/10.1007/BF01225254

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